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T O P I C    R E V I E W
mingshum Posted - 01/10/2009 : 17:44:09
If 1818 = rt where r and t are positive integers and r > t, which of the following could be the value of rt?

A)18
B)36
C)108
D)162
E)324

I squared both sides of the equation and came up with 3 to the sixth power times 2= rt

So I concluded that r = 3and t = 2 thus rt = 216 which is not a choice! The answer is 108. Where did my reasoning go wrong??
2   L A T E S T    R E P L I E S    (Newest First)
mingshum Posted - 01/10/2009 : 19:28:36
Thank you Mrspi!!! How could I have forgotten to simplify the radical!
Mrspi Posted - 01/10/2009 : 18:19:08
quote:
Originally posted by mingshum

If 1818 = rt where r and t are positive integers and r > t, which of the following could be the value of rt?

A)18
B)36
C)108
D)162
E)324

I squared both sides of the equation and came up with 3 to the sixth power times 2= rt

So I concluded that r = 3and t = 2 thus rt = 216 which is not a choice! The answer is 108. Where did my reasoning go wrong??



Did you think about simplifying

18 18
18 18 = 18 9 * 2
18 18 = 18*32

Or,

1818 = 542

Now... if this = r t, then

r = 54
and
t = 2

Looks to me like r = 54, and t = 2

So, what could be the value of r*t?

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